166377461758560 has 1440 divisors, whose sum is σ = 652898361820320. Its totient is φ = 39858971443200.

The previous prime is 166377461758513. The next prime is 166377461758567. The reversal of 166377461758560 is 65857164773661.

166377461758560 is a `hidden beast` number, since 1 + 6 + 6 + 3 + 7 + 7 + 4 + 6 + 1 + 7 + 58 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166377461758567) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 41397724231 + ... + 41397728249.

It is an arithmetic number, because the mean of its divisors is an integer number (453401640153).

Almost surely, 2^{166377461758560} is an apocalyptic number.

166377461758560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166377461758560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326449180910160).

166377461758560 is an abundant number, since it is smaller than the sum of its proper divisors (486520900061760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

166377461758560 is a wasteful number, since it uses less digits than its factorization.

166377461758560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4574 (or 4544 counting only the distinct ones).

The product of its (nonzero) digits is 1066867200, while the sum is 72.

The spelling of 166377461758560 in words is "one hundred sixty-six trillion, three hundred seventy-seven billion, four hundred sixty-one million, seven hundred fifty-eight thousand, five hundred sixty".